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Finding the Fourth Proportional to 9,198.92, 13,798.91 and 2,624.60

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Solution

The fourth proportional to 9,198.92, 13,798.91 and 2,624.60 is: 3,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.92 : 13,798.91 = 2,624.60 : x
  2. Step 2: Convert to fraction form
    9,198.92/13,798.91 = 2,624.60/x
  3. Step 3: Cross multiply
    9,198.92x = 13,798.91 × 2,624.60
  4. Step 4: Simplify right side
    9,198.92x = 36,216,619.19
  5. Step 5: Solve for x
    x = 36,216,619.19/9,198.92
  6. Step 6: Final answer
    x = 3,937.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.